Quantum Sinusoidal Wave

This is an animated visualization of the behavior of a pure sinusoidal wavefunction in one
dimension, representing a free quantum particle with a precise momentum that is inversely proportional
to the wavelength. There is no potential energy and the particle is nonrelativistic, so the
phase velocity is directly proportional to the momentum.

You can plot either the real and imaginary parts of
the wavefunction (shown in orange and blue, respectively), or the probability density and phase,
with the phase represented by hues going from
red (pure real and positive) to light green (pure imaginary and positive) to cyan (pure real
and negative) to purple (pure imaginary and negative) and finally back to red. For a pure
sinusoidal wavefunction, the probability density is the same everywhere.